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Finding the Fourth Proportional to 965.69, 1,332.85 and 546.04

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Solution

The fourth proportional to 965.69, 1,332.85 and 546.04 is: 753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.69 : 1,332.85 = 546.04 : x
  2. Step 2: Convert to fraction form
    965.69/1,332.85 = 546.04/x
  3. Step 3: Cross multiply
    965.69x = 1,332.85 × 546.04
  4. Step 4: Simplify right side
    965.69x = 727,792.95
  5. Step 5: Solve for x
    x = 727,792.95/965.69
  6. Step 6: Final answer
    x = 753.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.